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22010022211002 = 23729831216117903
BaseRepresentation
bin1010000000100100110111…
…00011100010110110111010
32212221010201021212102111220
411000102123203202312322
510341103011141223002
6114451133053532510
74431112603640010
oct500223343426672
985833637772456
1022010022211002
117016441813331
122575833aa4136
13c386c8011177
1456140dbb28b0
152827e7b5c7bc
hex14049b8e2dba

22010022211002 has 128 divisors (see below), whose sum is σ = 52677704540160. Its totient is φ = 5997748592640.

The previous prime is 22010022210971. The next prime is 22010022211019. The reversal of 22010022211002 is 20011222001022.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1229395183 + ... + 1229413085.

It is an arithmetic number, because the mean of its divisors is an integer number (411544566720).

Almost surely, 222010022211002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22010022211002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26338852270080).

22010022211002 is an abundant number, since it is smaller than the sum of its proper divisors (30667682329158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22010022211002 is a wasteful number, since it uses less digits than its factorization.

22010022211002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30188.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22010022211002 its reverse (20011222001022), we get a palindrome (42021244212024).

The spelling of 22010022211002 in words is "twenty-two trillion, ten billion, twenty-two million, two hundred eleven thousand, two".

Divisors: 1 2 3 6 7 14 21 29 42 58 83 87 166 174 203 249 406 498 581 609 1162 1218 1743 2407 3486 4814 7221 12161 14442 16849 17903 24322 33698 35806 36483 50547 53709 72966 85127 101094 107418 125321 170254 250642 255381 352669 375963 510762 519187 705338 751926 1009363 1038374 1058007 1485949 1557561 2018726 2116014 2468683 2971898 3028089 3115122 3634309 4457847 4937366 6056178 7065541 7268618 7406049 8915694 10401643 10902927 14131082 14812098 20803286 21196623 21805854 29271527 31204929 42393246 43092521 58543054 62409858 86185042 87814581 129277563 175629162 204900689 217718383 258555126 301647647 409801378 435436766 603295294 614702067 653155149 904942941 1229404134 1306310298 1524028681 1809885882 3048057362 4572086043 6313833107 9144172086 12627666214 18070625789 18941499321 36141251578 37882998642 44196831749 54211877367 88393663498 108423754734 126494380523 132590495247 252988761046 265180990494 379483141569 524048147881 758966283138 1048096295762 1572144443643 3144288887286 3668337035167 7336674070334 11005011105501 22010022211002